Identify the whole-number measure of segment AD¯¯¯¯¯¯¯¯

that would create △ABD
and △ACD
as shown.

An illustration shows a rhombus where the vertices are labeled as follows: A on the top vertex, B on the left, C on the right, and D at the bottom. A dashed line is drawn from A to D. The sides are labeled as follows: A C is labeled as 5, A B as 4, B D as 8, and C D as 15.

(1 point)
Responses

12
12

5
5

11
11

9
9

1 answer

The whole-number measure of segment AD that would create triangles ABD and ACD would be 11. Both triangles would have sides of length 4, 8, and 5.